Continuity and hypercyclicity of composition operators on algebras of symmetric analytic functions on Banach spaces
type: Item
instance of: scholarly article
title: Continuity and hypercyclicity of composition operators on algebras of symmetric analytic functions on Banach spaces
zbMATH Open document ID: 1505.47027
author: Oleh Holubchak
author: Zoryana Novosad
author: Irina Chernega
author: A. V. Zagorodnyuk
published in: European Journal of Mathematics
publication date: 2020-04-15T00:00:00Z
review text: Some conditions for continuity and hypercyclicity of composition operators on algebras of symmetric analytic functions of bounded type on different Banach spaces are presented in this paper. In Section~2, algebras generated by countable sequences of homogenous polynomials and composition operators on these algebras are studied. Continuity and hypercyclicity of such operators, especially for algebras of symmetric analytic functions, are investigated in Section~3. The authors establish hypercyclicity of some composition operators with translations on algebras of symmetric analytic functions and some other algebras. They also prove the hypercyclicity of related operators of differentiation.
reviewed by: José Bonet
Mathematics Subject Classification ID: 47B33
Mathematics Subject Classification ID: 47A16
Mathematics Subject Classification ID: 46G20
Mathematics Subject Classification ID: 46E25
Mathematics Subject Classification ID: 46J20
zbMATH DE Number: 7189618
zbMATH Keywords: hypercyclic operators
zbMATH Keywords: functional spaces
zbMATH Keywords: composition operators
zbMATH Keywords: symmetric analytic functions
MaRDI profile type: Publication
full work available at URL: s40879-019-00390-z
OpenAlex ID: W2993837478
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Wikidata QID: Q126669815
DOI: 10.1007/S40879-019-00390-Z
description: scientific article; zbMATH DE number 7189618